LCM of 958, 385, 748, 493
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 958, 385, 748, 493 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 958, 385, 748, 493. So, keep reading to learn more.
Given numbers are 958,385,748,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 958,385,748,493 is 363666380.
Find LCM of 958,385,748,493 with Prime Factorization
| 2 | 958, 385, 748, 493 |
| 11 | 479, 385, 374, 493 |
| 17 | 479, 35, 34, 493 |
| 479, 35, 2, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 17 x 479 x 35 x 2 x 29 = 363666380
Therefore, the lowest common multiple of 958,385,748,493 is 363666380.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
958 x 385 x 748 x 493 = 136011226120
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
958 : 1, 2, 479, 958
385 : 1, 5, 7, 11, 35, 55, 77, 385
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 958,385,748,493, is 1.
Now, the common factors can be found like this.
958:2x 479
385:5x 7x 11
748:2x 2x 11x 17
493:17x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 17 = 374
Therefore, the value for common factors is 374.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 136011226120/(1x374)
LCM = 136011226120/374
LCM = 363666380
Thus, we can understand that the LCM of 958,385,748,493 is 363666380.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 958, 385, 748, 493
1. What is the LCM of 958, 385, 748, 493?
Answer: LCM of 958, 385, 748, 493 is 363666380.
2. How to calculate the LCM of 958, 385, 748, 493?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 958, 385, 748, 493.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.